Finding the Third Proportional to 123,730 and 267,007

Step by Step Solution

1. Step 1: Write the proportion equation
   123,730 : 267,007 = 267,007 : x
2. Step 2: Convert to fraction form
   123,730/267,007 = 267,007/x
3. Step 3: Cross multiply
   123,730x = 267,007 × 267,007
4. Step 4: Simplify right side
   123,730x = 71,292,738,049
5. Step 5: Solve for x
   x = 71,292,738,049/123,730
6. Step 6: Final answer
   x = 576,196.06